Trigonometric Ratios Quiz

Trigonometric Ratios

• Angles: An angle is formed by two rays with the same starting point. The common point is called the vertex, and the rays are called the initial side and the terminal side.
• Positive and Negative Angle Measures: Angles have both positive and negative measures. A positive measure is when the terminal side rotates counterclockwise, and a negative measure is when the terminal side rotates clockwise.
• Standard Position: An angle is in standard position if its vertex is at the origin and its initial side lies along the positive x-axis.
• Unit Circle: The unit circle is a circle centered at the origin with a radius of 1. Any angle in standard position has a terminal side that intersects the unit circle at a unique point (x, y). The x-coordinate and the y-coordinate change as the angle changes. The point P(x, y) on the unit circle is represented as P(cos θ, sin θ).
• Trigonometric Ratios:
  • sin θ = y/1 = y
  • cos θ = x/1 = x
  • tan θ = y/x, where x ≠ 0